How to Solve Vertical Angles - Theorem, Proof

How to Solve Vertical Angles - Theorem, Proof, Definition, Example

Definition:

The congruent angles formed by the intersection of two lines and are opposite to each other are called verticle angles.


Formula :

Two lines are intersect each other and form four angles in which, the angles that are opposite to each other are verticle angles. These opposite angles (verticle angles ) will be equal.

A o = C o
B o = D o


Example:

Vertical Angle

If the angle A is 40 degree, then find the other three angles.


Given,

A= 40 deg


To Solve,

Vertical angle and remaining two angles


Solution:

A = C ,
Therefore, C = 40
B = 180-A = 140
B = D ,
Therefore, D = 140


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